901920117888 has 48 divisors (see below), whose sum is σ = 2595369092550. Its totient is φ = 300640038912.

The previous prime is 901920117871. The next prime is 901920117907. The reversal of 901920117888 is 888711029109.

It can be written as a sum of positive squares in only one way, i.e., 496416066624 + 405504051264 = 704568^2 + 636792^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×901920117888² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 391457233 + ... + 391459536.

Almost surely, 2^901920117888 is an apocalyptic number.

It is an amenable number.

901920117888 is an abundant number, since it is smaller than the sum of its proper divisors (1693448974662).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

901920117888 is a wasteful number, since it uses less digits than its factorization.

901920117888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782916789 (or 782916774 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 54.

The spelling of 901920117888 in words is "nine hundred one billion, nine hundred twenty million, one hundred seventeen thousand, eight hundred eighty-eight".